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The problem we address in this note has received considerable attention for some time [L, DKH, Z\. Recently Zimmerman [Z] argued that the "hoop" stress at the minimum distance points on the hole boundaries and in the direction of the loading (uniaxial tension 7^), is asymptotically of the form C/y/e , in the limit as the distance e of the two holes goes to zero. He finds that C « 1.94, in slight disagreement with the estimate C « 2.13 of [DKH], Zimmerman's calculation is based on an ad hoc summation of a divergent series

The singularity of the stress field of two nearby holes in a planar elastic medium